NCERT · Class 11 · Mathematics · Limits and DerivativesWhat is the derivative of $a^x$ (where $a > 0, a \neq 1$) with respect to $x$?
Step-by-Step Solution
The derivative of $a^x$ with respect to $x$ is $a^x \log_e a$.
Detailed Options Breakdown
Option : x a^{x-1}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 1: a^x
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
Option 2: a^x \log_e a (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: \frac{a^x}{\log a}
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Limits and Derivatives.
💡 Study Guide: This question tests core syllabus concepts from Limits and Derivatives. For formulas, key summaries, and mock exam reference guides, read the full Limits and Derivatives Revision Notes.